\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
For \(A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}\) and \(B = \begin{pmatrix} 0 & 1 \\ 1 & 0 \end{pmatrix}\), compute \(\mathrm{tr}(A B)\) and \(\mathrm{tr}(B A)\) separately, and verify they are equal.
Capture an image of your work. AI teacher feedback takes approximately 10 seconds.